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Finding the Fourth Proportional to 5,826.80, 8,041 and 3,174.20

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Solution

The fourth proportional to 5,826.80, 8,041 and 3,174.20 is: 4,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.80 : 8,041 = 3,174.20 : x
  2. Step 2: Convert to fraction form
    5,826.80/8,041 = 3,174.20/x
  3. Step 3: Cross multiply
    5,826.80x = 8,041 × 3,174.20
  4. Step 4: Simplify right side
    5,826.80x = 25,523,742.20
  5. Step 5: Solve for x
    x = 25,523,742.20/5,826.80
  6. Step 6: Final answer
    x = 4,380.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.